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- Stanley_symmetric_function abstract "In mathematics and especially in algebraic combinatorics, the Stanley symmetric functions are a family of symmetric polynomials introduced by Richard Stanley (1984) in his study of the symmetric group of permutations. Formally, the Stanley symmetric function Fw(x1, x2, ...) indexed by a permutation w is defined as a sum of certain fundamental quasisymmetric functions. Each summand corresponds to a reduced decomposition of w, that is, to a way of writing w as a product of a minimal possible number of adjacent transpositions. They were introduced in the course of Stanley's enumeration of the reduced decompositions of permutations, and in particular his proof that the permutation w0 = n(n − 1)...21 (written here in one-line notation) has exactly reduced decompositions. (Here denotes the binomial coefficient n(n − 1)/2 and ! denotes the factorial.)".
- Stanley_symmetric_function wikiPageExternalLink 56.pdf.
- Stanley_symmetric_function wikiPageID "31980740".
- Stanley_symmetric_function wikiPageRevisionID "542605675".
- Stanley_symmetric_function authorlink "Richard P. Stanley".
- Stanley_symmetric_function first "Richard".
- Stanley_symmetric_function hasPhotoCollection Stanley_symmetric_function.
- Stanley_symmetric_function last "Stanley".
- Stanley_symmetric_function year "1984".
- Stanley_symmetric_function subject Category:Polynomials.
- Stanley_symmetric_function subject Category:Symmetric_functions.
- Stanley_symmetric_function type Abstraction100002137.
- Stanley_symmetric_function type Function113783816.
- Stanley_symmetric_function type MathematicalRelation113783581.
- Stanley_symmetric_function type Polynomial105861855.
- Stanley_symmetric_function type Polynomials.
- Stanley_symmetric_function type Relation100031921.
- Stanley_symmetric_function type SymmetricFunctions.
- Stanley_symmetric_function comment "In mathematics and especially in algebraic combinatorics, the Stanley symmetric functions are a family of symmetric polynomials introduced by Richard Stanley (1984) in his study of the symmetric group of permutations. Formally, the Stanley symmetric function Fw(x1, x2, ...) indexed by a permutation w is defined as a sum of certain fundamental quasisymmetric functions.".
- Stanley_symmetric_function label "Stanley symmetric function".
- Stanley_symmetric_function sameAs m.0gvrt23.
- Stanley_symmetric_function sameAs Q7600073.
- Stanley_symmetric_function sameAs Q7600073.
- Stanley_symmetric_function sameAs Stanley_symmetric_function.
- Stanley_symmetric_function wasDerivedFrom Stanley_symmetric_function?oldid=542605675.
- Stanley_symmetric_function isPrimaryTopicOf Stanley_symmetric_function.